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Finding the Fourth Proportional to 707,122.41, 975,810.21 and 384,825.60

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Solution

The fourth proportional to 707,122.41, 975,810.21 and 384,825.60 is: 531,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,122.41 : 975,810.21 = 384,825.60 : x
  2. Step 2: Convert to fraction form
    707,122.41/975,810.21 = 384,825.60/x
  3. Step 3: Cross multiply
    707,122.41x = 975,810.21 × 384,825.60
  4. Step 4: Simplify right side
    707,122.41x = 375,516,748,106.28
  5. Step 5: Solve for x
    x = 375,516,748,106.28/707,122.41
  6. Step 6: Final answer
    x = 531,049.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.